Find the numerical solution of the following fourth-degree polynomial has a real zero (14) f(x) = (219 + d)x4 + (9 + d)x3 + (4 + d)x2 − 211x − d, in [0, 1]. Attempt to approximate the zero to within 10−4 using the Secant method

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.